x' x? Let the function f be defined as f(x) = 3 2 (a) Find the intervals on which f is increasing or decreasing (b) Use the First Derivative Test to identify all local minimum and local тахітит.

x' x? Let the function f be defined as f(x) = 3 2 (a) Find the intervals on which f is increasing or decreasing (b) Use the First Derivative Test to identify all local minimum and local тахітит.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Solve the following problem a and b

3
x' x²
Let the function f be defined as f (x) =
3
(a) Find the intervals on whichf is increasing or decreasing
(b) Use the First Derivative Test to identify all local minimum and local
тахiтит.

Expert Solution

Step 1

Given that : f(x)= x³/3 - x²/2.

Find intervals in which increases or decreases this function.

And again find local maxima and Local minima.

Here i attached the solution of this question.

Step by step

Solved in 3 steps with 2 images

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